Algebraic Structures in Nonlinear Systems over Rings Obtained by Immersion

2008 ◽  
Vol 47 (4) ◽  
pp. 1961-1976 ◽  
Author(s):  
Toshiyuki Ohtsuka
Keyword(s):  
Nonlinear Systems ◽  
Algebraic Structures ◽  
Systems Over Rings

VAGUE RINGS

2005 ◽  
Vol 01 (02) ◽  
pp. 213-228 ◽  
Author(s):  
RANDALL CRIST ◽  
JOHN N. MORDESON
Keyword(s):  
Nonlinear Systems ◽  
Power Series ◽  
Systems Of Equations ◽  
Algebraic Structures ◽  
Nonlinear Systems Of Equations ◽  
Cauchy Sequences ◽  
Power Series Rings

We examine the notion of a vague ring. We develop a method of constructing vague rings which can be used in the construction of other algebraic structures. We make a connection between vague rings and M-adic topologies on rings and also to the solution of nonlinear systems of equations and to the convergence of Cauchy sequences in power series rings. We introduce the notion of Ω-vagueness which we apply to the integration and differentiation of fuzzy functions.

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models

Modeling of Nonlinear Systems using Genetic Algorithm

2012 ◽  
Vol 132 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kayoko Hayashi ◽  
Toru Yamamoto ◽  
Kazuo Kawada
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems
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